A new approach to the study of Harris type Markov operators (Q1263063)

The paper contains a sequence of popular results in the theory of Harris operators such as the theorems of Harris, Ornstein-Metivier-Brunel or Doeblin. The main tool in this approach is Orey's lemma which asserts that some iterate of a Harris operator is larger than an integral kernel of tensor product type if a separable \(\sigma\)-finite measure space is considered. The author's idea is to prove two versions of this lemma in which separability is not required. These make possible simple proofs for the theorems listed above.